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Numbers System — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSNumbers System1 Mark
Question
The decimal representation of a rational number is:
  1. always terminating.
  2. either terminating or repeating.
  3. either terminating or non-repeating.
  4. neither terminating nor repeating.
✓

Answer

  1. either terminating or repeating.
Solution:
The numbers of the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0,$ are known as rational numbers.
Decimal representation of a rational number is either terminating or a repeating decimal, since every decimal of this form can be expressed in the form $\frac{\text{p}}{\text{q}}.$
Hence, the correct opion is (b).

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